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A Survey of and Evaluation Methodology for Fiber Composite Material Failure Theories

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Mechanics for a New Mellennium

Abstract

The long-standing problem of characterizing failure for fiber composite materials will be reviewed. Emphasis will be given to the lamina level involving nominally aligned fibers in a matrix phase. However, some consideration will also be given to laminate failure using the lamina form as the basic building block along with the concept of progressive damage. The many different lamina-level theories will be surveyed along with the commitment necessary to produce critical experimental data. Four particular theories will be reviewed and compared in some detail, these being the Tsai-Wu, Hashin, Puck, and Christensen forms. These four theories are reasonably representative of the great variety of different forms with widely different physical effects that can be encountered; also, for comparison, the rudimentary forms of maximum normal stress and maximum normal strain criteria will be given. The controversial problem of how many different individual modes of failure are necessary to describe general failure will receive attention. A specific and detailed methodology for evaluation of all the various theories will be formulated.

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References

  • Boehler, J. P., and M. Delafin. 1979. Failure criteria for unidirectional fiber-reinforced composites under confining pressure. Proceedings of the Euromech Colloquium 115. The Hague: Martinus Nijhoff, 449–470.

    Google Scholar 

  • Christensen, R. M. 1988. Tensor transformations and failure criteria for the analysis of fiber composite materials. Journal of Composite Materials 22, 874–897.

    Article  Google Scholar 

  • Christensen, R. M. 1997. Stress based yield/failure criteria for fiber composites. International Journal of Solids and Structures 34, 529–543.

    Article  MATH  Google Scholar 

  • Christensen, R. M. 1998. The numbers of elastic properties and failure parameters for fiber composites. Journal of Engineering Materials and Technology 120, 110–113.

    Article  Google Scholar 

  • Cuntze, R. G. 1999. Progressive failure of 3d-stressed laminates: Multiple nonlinearity treated by the failure mode concept. Duracosys Conference Manuscript (from the author).

    Google Scholar 

  • Feng, W. W. 1991. A failure criterion for composite materials. Journal of Composite Materials 25, 88–100.

    Google Scholar 

  • Gosse, J. 1999. Boeing Aerospace. Private communication.

    Google Scholar 

  • Hahn, H. T., and M. N. Kallas. 1992. Failure criteria for thick composites. Ballistic Research Laboratory Report CR-691, Aberdeen Proving Ground, Md.

    Google Scholar 

  • Hart-Smith, L. J. 1993. Should fibrous composites failure modes be interacted or superimposed? Composites 24, 53–55.

    Article  Google Scholar 

  • Hashin, Z. 1980. Failure criteria for undirectional fiber composites. Journal of Applied Mechanics 31, 223–232.

    Google Scholar 

  • Hashin, Z. 1996. Finite thermoelastic fracture criterion with application to laminate cracking analysis. Journal of the Mechanics and Physics of Solids 44, 1129–1145.

    Article  ADS  Google Scholar 

  • Hinton, M. J., and P. D. Soden. 1998. Predicting failure in composite laminates: The background to the exercise. Composites Science and Technology 58, 1001–1010.

    Article  Google Scholar 

  • Kopp, J., and W. Michaeli. 1999. The new action plane related strength criterion in comparison with common strength criteria. Proceedings of the International Conference on Composite Materials 12, Paris.

    Google Scholar 

  • Nairn, J. A., and S. Shu. 1994. Matrix microcracking. In Damage Mechanics of Composites (R. Talreja, ed.). New York: Elsevier Science, 187–243.

    Google Scholar 

  • Parry, T. V., and A. S. Wronski. 1982. Kinking and compressive failure in uniaxially aligned carbon fiber composite tested under superimposed hydrostatic pressure. Journal of Materials Science 17, 893–900.

    Article  ADS  Google Scholar 

  • Parry, T. V., and A. S. Wronski. 1985. The effect of hydrostatic pressure on the tensile properties of pultruded CFRP. Journal of Materials Science 20, 2141–2147.

    Article  ADS  Google Scholar 

  • Puck, A., and H. Schürmann. 1998. Failure analysis of FRP laminates by means of physically based phenomenological models. Composites Science and Technology 58, 1045–1067.

    Article  Google Scholar 

  • Rohrauer, G. 1999. Ultra-high pressure composite vessels with efficient stress distributions. Ph.D. thesis, Concordia University, Montreal, Canada.

    Google Scholar 

  • Soden, P. D., M. J. Hinton, and A. S. Kaddour. 1998. A comparison of the predictive capabilities of current failure theories for composite laminates. Composites Science and Technology 58, 1225–1254.

    Article  Google Scholar 

  • Tsai, S. W., and E. M. Wu. 1971. A general theory of strength for anisotropic materials. Journal of Composite Materials 5, 58–80.

    Article  Google Scholar 

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© 2001 Kluwer Academic Publishers

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Christensen, R.M. (2001). A Survey of and Evaluation Methodology for Fiber Composite Material Failure Theories. In: Aref, H., Phillips, J.W. (eds) Mechanics for a New Mellennium. Springer, Dordrecht. https://doi.org/10.1007/0-306-46956-1_2

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  • DOI: https://doi.org/10.1007/0-306-46956-1_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7156-4

  • Online ISBN: 978-0-306-46956-5

  • eBook Packages: Springer Book Archive

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